3 papers
math.PR2020
Quasi-birth-and-death processes and multivariate orthogonal polynomials
Lidia Fernández, Manuel D. de la Iglesia
The aim of this paper is to study some models of quasi-birth-and-death (QBD) processes arising from the theory of bivariate orthogonal polynomials. First we will see how to perform…
math.CA2019
Darboux transformations from the Appell-Lauricella operator
Antonia M. Delgado, Lidia Fernández, Plamen Iliev
We define two isomorphic algebras of differential operators: the first algebra consists of ordinary differential operators and contains the hypergeometric differential operator, wh…
math.CA2006
A semiclassical perspective on multivariate orthogonal polynomials
M. Alvarez de Morales, L. Fernández, T. E. Pérez +1
Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi--orthogonali…